Chapter

Advances in Proof-Theoretic Semantics

Volume 43 of the series Trends in Logic pp 253-283

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Open Problems in Proof-Theoretic Semantics

  • Peter Schroeder-HeisterAffiliated withDepartment of Computer Science, University of Tübingen Email author 

Abstract

I present three open problems the discussion and solution of which I consider relevant for the further development of proof-theoretic semantics: (1) The nature of hypotheses and the problem of the appropriate format of proofs, (2) the problem of a satisfactory notion of proof-theoretic harmony, and (3) the problem of extending methods of proof-theoretic semantics beyond logic.

Keywords

Proof-theoretic semantics Hypothesis Natural deduction Sequent calculus Harmony Identity of proofs Definitional reflection